Help its the mid chapter checkpoint

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

1. Estimate the quotient helps you place the first digit in a division problem because the estimation is an approximation to the solution of the problem. Take into account that the first digit of the actual solution not necessarily match the first digit of the approximation, but still helps you to find the actual solution because both first digits are near.

2. If you multiply the divisor by the quotient you must obtain the dividend. For example, 210/7 = 30, then 30*7 = 210

Ipatiy [6.2K]3 years ago

4 0

1. it helps you by being the first number you use to divide
2 you can multiply the quotient and dividend to check your answer so you can check if the quotient is right, to see if its right it should equal the divisor.
3. 211
4.60.875

You might be interested in

A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape

nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2). Plug in to find the value of a.

2 = a│1 − 5│+ 3

2 = 4a + 3

a = -¼

Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0

3 years ago

Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt

Leni [432]

Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = $\sqrt{Δx^2+Δy^2}$
d₁ = $\sqrt{(-2-1)^2+(1-4)^2}$
d₂ = $\sqrt{(x-1)^2+(y-4)^2}$
d₁ = d₂
∴ $\sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2}$ ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
(x-1)²+(y-4)² = 18
from equatoin (1) y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = $\pm \sqrt{9} = \pm 3$
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1) or (-2,7)

8 0

4 years ago

11 divided by 0.1595

schepotkina [342]

Answer:

68.965

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In an orchard, there are 18 apple trees, 23 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?

Nikitich [7]